In　this　study,　we　mainly　discuss　the　weaving　of　K-g-frames　in　Hilbert　spaces.　Note　that　the　concept　of　weaving　was　recently　proposed　by　Bemrose　et　al　to　solve　a　question　in　distributed　signal　processing.　We　give　a　sufficient　condition　such　that　the　left　sequence　can　still　be　K-woven　in　R(K)　by　deleting　some　elements　from　a　K-woven　pair　of　K-g-frames.　We　then　give　three　different　types　of　perturbation　conditions　such　that,　under　them,　the　K-g-frames　{Lambda(j)　:　j　is　an　element　of　J}　and　{Gamma(j)　:　j　is　an　element　of　J}　or　the　types　{Lambda(j)　T-1*　:　j　is　an　element　of　J}　and　{Gamma　T-j(1)*　:　j　is　an　element　of　J}　can　be　K-woven　in　R(K),　where　T-1,　T-2　are　surjective　operators　on　U.